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Finding the Third Proportional to 188,514 and 410,274

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Solution

The third proportional to 188,514 and 410,274 is: 892,903.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,514 : 410,274 = 410,274 : x
  2. Step 2: Convert to fraction form
    188,514/410,274 = 410,274/x
  3. Step 3: Cross multiply
    188,514x = 410,274 × 410,274
  4. Step 4: Simplify right side
    188,514x = 168,324,755,076
  5. Step 5: Solve for x
    x = 168,324,755,076/188,514
  6. Step 6: Final answer
    x = 892,903.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.